Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains
We study in this paper a class of second-order linear elliptic equations in weighted Sobolev spaces on unbounded domains of ℝ𝑛, 𝑛≥3. We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/582435 |
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| _version_ | 1841524886593339392 |
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| author | Serena Boccia Sara Monsurrò Maria Transirico |
| author_facet | Serena Boccia Sara Monsurrò Maria Transirico |
| author_sort | Serena Boccia |
| collection | DOAJ |
| description | We study in this paper a class of second-order
linear elliptic equations in weighted Sobolev spaces on unbounded
domains of ℝ𝑛, 𝑛≥3. We obtain an a priori bound, and a regularity
result from which we deduce a uniqueness theorem. |
| format | Article |
| id | doaj-art-b2da4c7c8f0c42089b2193c2b3887dac |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b2da4c7c8f0c42089b2193c2b3887dac2025-02-03T05:47:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/582435582435Elliptic Equations in Weighted Sobolev Spaces on Unbounded DomainsSerena Boccia0Sara Monsurrò1Maria Transirico2Dipartimento di Matematica e Informatica, Università di Salerno, via Ponte don Melillo, 84084 Fisciano, ItalyDipartimento di Matematica e Informatica, Università di Salerno, via Ponte don Melillo, 84084 Fisciano, ItalyDipartimento di Matematica e Informatica, Università di Salerno, via Ponte don Melillo, 84084 Fisciano, ItalyWe study in this paper a class of second-order linear elliptic equations in weighted Sobolev spaces on unbounded domains of ℝ𝑛, 𝑛≥3. We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem.http://dx.doi.org/10.1155/2008/582435 |
| spellingShingle | Serena Boccia Sara Monsurrò Maria Transirico Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains International Journal of Mathematics and Mathematical Sciences |
| title | Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains |
| title_full | Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains |
| title_fullStr | Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains |
| title_full_unstemmed | Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains |
| title_short | Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains |
| title_sort | elliptic equations in weighted sobolev spaces on unbounded domains |
| url | http://dx.doi.org/10.1155/2008/582435 |
| work_keys_str_mv | AT serenaboccia ellipticequationsinweightedsobolevspacesonunboundeddomains AT saramonsurro ellipticequationsinweightedsobolevspacesonunboundeddomains AT mariatransirico ellipticequationsinweightedsobolevspacesonunboundeddomains |